45103872 has 144 divisors (see below), whose sum is σ = 138337920. Its totient is φ = 12902400.

The previous prime is 45103871. The next prime is 45103909. The reversal of 45103872 is 27830154.

It is not an unprimeable number, because it can be changed into a prime (45103871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160372 + ... + 160652.

It is an arithmetic number, because the mean of its divisors is an integer number (960680).

Almost surely, 2^45103872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69168960).

45103872 is an abundant number, since it is smaller than the sum of its proper divisors (93234048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45103872 is a wasteful number, since it uses less digits than its factorization.

45103872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 45103872 is about 6715.9416316701. The cubic root of 45103872 is about 355.9627954218.

The spelling of 45103872 in words is "forty-five million, one hundred three thousand, eight hundred seventy-two".